已知x.y.z满足x-y 5大于等于0,x小于等于3,x y k大于等于0
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21学过线性规划没啊?学过的话就很简单了,画出方程所确定的可行域,就可以“逼”出结果了.
x+y-z=6y+z-x=2z+x-y=0三式相加得x+y+z=8-得2z=2z=1-得2x=6x=3-得2y=8y=4x=3y=4z=1
原式=Z-X-Y+Z-X+Y=-2X
已知x>0,y<0,z>0,且|x|大于|y|,|y|小于|z|,化简|x+z|+|y+z|-|x+y||x+z|+|y+z|-|x+y|=x+z+y+z-x-y=2z
设x+13=y+34=x+y5=m,则x+1=3m,y+3=4m,x+y=5m;解可得m=2,进而可得x=5,y=5,代入分式可得3x+2y+1x+2y+3=2618=139,故答案为139.
xyz=x+y+z<3z∴xy<3由于x<y,故xy=2,x=1,y=2∴z=3
∵xyx+y=-2,yzy+z=43,zxz+x=-43,∴1x+1y=-12,1y+1z=34,1z+1x=-34,∴2(1x+1y+1z)=-12,即1x+1y+1z=-14,则xyzxy+yz+
0.5在坐标系中画出对应区域,易知z在(1,-1)取最小值,可得答案
第一题:2x-3y=8①3y+2z=0②x-z=-2③由①+②得到:2x+2z=8④由③式得到x=z-2,带入④式得到:z=3然后解得:x=1、y=-2、z=3,那么xyz=-6第二题:由①-2②,③
根据题意得,4x-4y+1=0,2y+z=0,z-12=0,解得x=-12,y=-14,z=12,∴x+z-y=-12+12-(-14)=14,∴x+z−y=14=12.故答案为:12.
x/(y+z)+y/(z+x)+z/(x+y)=1所以x/(y+z)=1-[y/(z+x)+z/(x+y)]y/(z+x)=1-[x/(y+z)+z/(x+y)]z/(x+y)=1-[x/(y+z)+
等于0.x/(y+z)=1-[y/(z+x)+z/(x+y)]y/(z+x)=1-[x/(y+z)+z/(x+y)]z/(x+y)=1-[x/(y+z)+y/(z+x)]x2/(y+z)+y2/(z+
先做图,然后就很容易分析了.
xy/(x+y)=-2(x+y)/xy=-1/21/y+1/x=-1/2yz/(y+z)=4/3(y+z)/yz=3/41/z+1/y=3/4zx/(z+x)=-4/3(z+x)/zx=-3/41/x
已知正数x.y.z满足x+y+z=1,求证:(1):(1/x-1)(1/y-1)(1/z-1)大于等于8;(2):1/x+1/y+1/z大于等于9知道手机网友你好:你要发布问题,就把问题发完整.问的题